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Reliable induced L∞ control for polytopic uncertain continuous-time singular systems with dynamic quantization

Author

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  • Liu, Rong-Rong
  • Xiong, Jun
  • Zhang, Zaolin

Abstract

This paper considers the problem of state feedback control for a class of polytopic uncertain continuous-time singular systems with input quantization and actuator faults. The aim of this paper is to design the reliable controller and dynamic quantizer that ensure the considered closed-loop system is asymptotically stable and satisfies the prescribed induced L∞ performance constraint. The introduced proportional plus derivative state feedback controller can eliminate the structural restrictions of the system matrices, thus a more general sufficient condition is obtained for the problem. Finally, the four-mesh circuit is provided to demonstrate the effectiveness of the proposed induced L∞ control approach.

Suggested Citation

  • Liu, Rong-Rong & Xiong, Jun & Zhang, Zaolin, 2023. "Reliable induced L∞ control for polytopic uncertain continuous-time singular systems with dynamic quantization," Applied Mathematics and Computation, Elsevier, vol. 443(C).
    • Handle: RePEc:eee:apmaco:v:443:y:2023:i:c:s0096300322008335
    DOI: 10.1016/j.amc.2022.127765
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    References listed on IDEAS

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    1. Yunling Shi & Xiuyan Peng, 2020. "Fault Detection Filter Design of Polytopic Uncertain Continuous-Time Singular Markovian Jump Systems with Time-Varying Delays," Complexity, Hindawi, vol. 2020, pages 1-23, February.
    2. Liu, Guobao & Xu, Shengyuan & Wei, Yunliang & Qi, Zhidong & Zhang, Zhengqiang, 2018. "New insight into reachable set estimation for uncertain singular time-delay systems," Applied Mathematics and Computation, Elsevier, vol. 320(C), pages 769-780.
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